摘要： 在实际的成像系统中，每一个传感器系统有唯一的系统响应，对应的是获取设备的点扩展函数(PSF)，可以被看作是预知的采样核，但这样的采样过程并不满足Whittaker-Shannon采样定理的要求，在这种情况下，靠准确的插值重建来改善图像分辨率是不可能的。与利用多帧图像的互补信息进行插值不同，该文在最小平方误差意义下提出了对应于成像物理意义下的最优化的单帧图像插值方法，通过对图像进行新的重采样，改善了图像的分辨率。实验结果表明该方法获得了较好的改善效果。

关键词: 重采样, 点扩展函数, 最优插值, 分辨率改善

Abstract: In real imaging system, every sensor system has unique system response, that is point spread function of acquisition device, which can be considered as sampling kernel given a prior, but sampling process like this doesn’t satisfy Whittaker-Shannon sampling theorem’s requirements, in such case, exact interpolation to improve image resolution is impossible. Differencing with interpolation method of multiple images with complementary information, optimal single frame image interpolation method in the sense of mean square error that corresponds to imaging physics meaning is presented. Image resolution is improved by resampling. The test shows the better improvement effect can be obtained by this method.

Key words: Resampling, Point spread function, Optimal interpolation, Resolution improvement